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13106520 = 2332572743
BaseRepresentation
bin110001111111…
…110101011000
3220122212202200
4301333311120
511323402040
61144530200
7216255300
oct61776530
926585680
1013106520
117442139
124480960
13293b84b
141a52600
15123d630
hexc7fd58

13106520 has 144 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 2991744.

The previous prime is 13106519. The next prime is 13106539. The reversal of 13106520 is 2560131.

13106520 is a `hidden beast` number, since 1 + 3 + 10 + 652 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13106493 and 13106502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17269 + ... + 18011.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 213106520 is an apocalyptic number.

13106520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

13106520 is an abundant number, since it is smaller than the sum of its proper divisors (36510840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13106520 is a wasteful number, since it uses less digits than its factorization.

13106520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13106520 is about 3620.2928058377. The cubic root of 13106520 is about 235.7739384639.

Adding to 13106520 its reverse (2560131), we get a palindrome (15666651).

The spelling of 13106520 in words is "thirteen million, one hundred six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 743 840 882 980 1176 1260 1470 1486 1764 1960 2205 2229 2520 2940 2972 3528 3715 4410 4458 5201 5880 5944 6687 7430 8820 8916 10402 11145 13374 14860 15603 17640 17832 20804 22290 26005 26748 29720 31206 33435 36407 41608 44580 46809 52010 53496 62412 66870 72814 78015 89160 93618 104020 109221 124824 133740 145628 156030 182035 187236 208040 218442 234045 267480 291256 312060 327663 364070 374472 436884 468090 546105 624120 655326 728140 873768 936180 1092210 1310652 1456280 1638315 1872360 2184420 2621304 3276630 4368840 6553260 13106520